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Finding the Fourth Proportional to 401.94, 553.23 and 285.30

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Solution

The fourth proportional to 401.94, 553.23 and 285.30 is: 392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.94 : 553.23 = 285.30 : x
  2. Step 2: Convert to fraction form
    401.94/553.23 = 285.30/x
  3. Step 3: Cross multiply
    401.94x = 553.23 × 285.30
  4. Step 4: Simplify right side
    401.94x = 157,836.52
  5. Step 5: Solve for x
    x = 157,836.52/401.94
  6. Step 6: Final answer
    x = 392.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.